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Finding the Fourth Proportional to 108.86, 162.97 and 84.83

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Solution

The fourth proportional to 108.86, 162.97 and 84.83 is: 126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.86 : 162.97 = 84.83 : x
  2. Step 2: Convert to fraction form
    108.86/162.97 = 84.83/x
  3. Step 3: Cross multiply
    108.86x = 162.97 × 84.83
  4. Step 4: Simplify right side
    108.86x = 13,823.72
  5. Step 5: Solve for x
    x = 13,823.72/108.86
  6. Step 6: Final answer
    x = 126.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.